Solve the system of equations 2x-y=1; x+2y=8 graphically and find the coordinates of the points where corresponding lines intersect y-axis.
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$y = 4$
$y = - \dfrac { 1 } { 3 } x$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x = - 12$
$ $ Solve a solution to $ x$
$4 = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ x }$
$ $ Calculate the multiplication expression $ $
$4 = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } }$
$\color{#FF6800}{ 4 } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 12 } = \color{#FF6800}{ - } \color{#FF6800}{ x }$
$12 = \color{#FF6800}{ - } \color{#FF6800}{ x }$
$ $ Move the variable to the left-hand side and change the symbol $ $
$12 \color{#FF6800}{ + } \color{#FF6800}{ x } = 0$
$\color{#FF6800}{ 12 } + x = 0$
$ $ Move the constant to the right side and change the sign $ $
$x = \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
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